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Found 466 Documents (Results 1–100)

Weakly lacunary orthogonal systems and properties of the maximal partial sum operator for subsystems. (English. Russian original) Zbl 1457.42015

Proc. Steklov Inst. Math. 311, 152-170 (2020); translation from Tr. Mat. Inst. Steklova 311, 164-182 (2020).
MSC:  42A55 42C10
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Construction and properties of Haar-Vilenkin wavelets. (English) Zbl 1396.42014

Manchanda, Pammy (ed.) et al., Industrial mathematics and complex systems. Emerging mathematical models, methods and algorithms. Based on the presentations at the international conference, Greater Noida, India, January 29–31, 2016. Singapore: Springer (ISBN 978-981-10-3757-3/hbk; 978-981-10-3758-0/ebook). Industrial and Applied Mathematics, 193-206 (2017).
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Equiconvergence of expansions in multiple Fourier series and in Fourier integrals with “lacunary sequences of partial sums”. (English. Russian original) Zbl 1341.42016

Math. Notes 99, No. 2, 196-209 (2016); translation from Mat. Zametki 99, No. 2, 186-200 (2016).
MSC:  42B05
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Localization for multiple Fourier series with “\(J_k\)-lacunary sequence of partial sums” in Orlicz classes. (English. Russian original) Zbl 1312.42013

Math. Notes 95, No. 1, 22-31 (2014); translation from Mat. Zametki 95, No. 1, 26-36 (2014).
MSC:  42B05 46E30
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de la Vallée-Poussin means of Fourier series for the quadratic spectrum and for spectra with power-like density. (English. Russian original) Zbl 1311.42011

Russ. Math. Surv. 69, No. 1, 119-152 (2014); translation from Usp. Mat. Nauk 69, No. 1, 125-162 (2014).
MSC:  42A32 42A55
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Trigonometric Fourier series and Walsh-Fourier series with lacunary sequence of partial sums. (English. Russian original) Zbl 1272.42017

Math. Notes 93, No. 2, 332-336 (2013); translation from Mat. Zametki 93, No. 2, 305-309 (2013).
MSC:  42C10 42B05
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Interpolation and Sidon sets for compact groups. (English) Zbl 1267.43001

CMS Books in Mathematics/Ouvrages de Mathématiques de la SMC. New York, NY: Springer (ISBN 978-1-4614-5391-8/hbk; 978-1-4614-5392-5/ebook). xvii, 249 p. (2013).
Reviewer: Daniel Li (Lens)
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On \(J_K\)-lacunary sequences of rectangular partial sums of multiple Fourier series. (English) Zbl 1297.42013

Burenkov, V. I. (ed.) et al., Progress in analysis. Proceedings of the 8th congress of the International Society for Analysis, its Applications, and Computation (ISAAC), Moscow, Russia, August 22–27, 2011. Volume 2. Moscow: Peoples’ Friendship University of Russia (ISBN 978-5-209-04590-8/hbk). 257-264 (2012).
MSC:  42B05
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Improvement of the Ul’yanov inequality for mixed moduli of smoothness for functions with lacunary Fourier coefficients. (English. Russian original) Zbl 1271.42011

Mosc. Univ. Math. Bull. 67, No. 1, 16-22 (2012); translation from Vestn. Mosk. Univ., Ser. I 67, No. 1, 18-24 (2012).
MSC:  42B05
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Analysis and harmonic synthesis. (Analyse et synthèse harmoniques.) (French) Zbl 1256.42001

Harinck, Pascale (ed.) et al., Histoires de mathématiques. Journées Mathématiques X-UPS 2011. Palaiseau: Les Éditions de l’École Polytechnique (ISBN 978-2-7302-1595-4/pbk). 17-53 (2012).
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De la Vallée-Poussin means of Fourier series for quadratic spectrum and power density spectra. (English. Russian original) Zbl 1250.42023

Dokl. Math. 84, No. 1, 485-490 (2011); translation from Dokl. Akad. Nauk 439, No. 3, 298-303 (2011).
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Almost everywhere divergence of lacunary subsequences of partial sums of Fourier series. (English. Russian original) Zbl 1228.42004

Proc. Steklov Inst. Math. 273, Suppl. 1, 99-106 (2011); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 16, No. 4 (2010).
MSC:  42A20 42A55
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Maximal sets of convergence and unbounded divergence of multiple Fourier series with \(J_k\)-lacunary sequence of partial sums. (English. Russian original) Zbl 1203.42012

Math. Notes 86, No. 6, 883-886 (2009); translation from Mat. Zametki 86, No. 6, 938-941 (2009).
MSC:  42B05
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A weak generalized localization criterion for multiple Fourier series whose rectangular partial sums are considered over a subsequence. (English. Russian original) Zbl 1217.42022

Dokl. Math. 78, No. 3, 864-867 (2008); translation from Dokl. Akad. Nauk., Ross. Akad. Nauk. 423, No. 4, 439-442 (2008).
MSC:  42B08
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Weak generalized localization for multiple Fourier series whose rectangular partial sums are considered with respect to some subsequence. (English. Russian original) Zbl 1178.42010

Math. Notes 84, No. 3, 314-327 (2008); translation from Mat. Zametki 84, No. 3, 334-347 (2008).
MSC:  42B05
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Estimates for a group of \(\varphi \) deviations and the strong summability of Taylor series of functions of class \(A ^\psi H_{\infty}(D)\). (English. Russian original) Zbl 1173.30002

Math. Notes 83, No. 5, 635-642 (2008); translation from Mat. Zametki 83, No. 5, 696-704 (2008).
MSC:  30B10 42A24 30E10
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On a question of Brézis and Korevaar concerning a class of square-summable sequences. (English) Zbl 1160.42001

Hibschweiler, Rita A. (ed.) et al., Banach spaces of analytic functions. AMS special session, University of New Hampshire, Durham, NH, USA, April 22–23, 2006. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4268-3/pbk). Contemporary Mathematics 454, 35-41 (2008).
MSC:  42A16 30B10
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On the multiplication of scalar and matrix power series with integer coefficients. (English. Russian original) Zbl 1152.65037

Mosc. Univ. Comput. Math. Cybern. 32, No. 2, 76-80 (2008); translation from Vestn. Mosk. Univ. 2008, No. 2, 17-20 (2008).
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